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Finding the Fourth Proportional to 309,572.96, 427,029.22 and 194,669.33

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Solution

The fourth proportional to 309,572.96, 427,029.22 and 194,669.33 is: 268,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,572.96 : 427,029.22 = 194,669.33 : x
  2. Step 2: Convert to fraction form
    309,572.96/427,029.22 = 194,669.33/x
  3. Step 3: Cross multiply
    309,572.96x = 427,029.22 × 194,669.33
  4. Step 4: Simplify right side
    309,572.96x = 83,129,492,728.72
  5. Step 5: Solve for x
    x = 83,129,492,728.72/309,572.96
  6. Step 6: Final answer
    x = 268,529.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.